Describe at least three distinct ways to solve a system of equations using linear algebra. (Distinct...

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Describe at least three distinct ways to solve a systemof equations using linear algebra. (Distinct means that theapproach is fundamentally different.) Be specific and detailedusing linear algebra vocabulary. It might be helpful to pick anexample problem and illustrate each of the threemethods.  

Suppose T1 and T2 are linear transformations from Rn toRn. Let T(x) = T2(T1(x))

The responses should be very clear like you are writinginstructions to someone who doesn’t know theprocess.  

  1. Describe how to find the transformation matrix ofT1.

  1. Describe how to find the transformation matrix of T.(Bonus +2 points if you can describe a second method.)

  1. Is T2(T1(x)) = T1(T2(x)) for any linear transformationT1 and T2? Explain.

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